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Finding the Third Proportional to 334,410 and 505,180.50

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Solution

The third proportional to 334,410 and 505,180.50 is: 763,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,410 : 505,180.50 = 505,180.50 : x
  2. Step 2: Convert to fraction form
    334,410/505,180.50 = 505,180.50/x
  3. Step 3: Cross multiply
    334,410x = 505,180.50 × 505,180.50
  4. Step 4: Simplify right side
    334,410x = 255,207,337,580.25
  5. Step 5: Solve for x
    x = 255,207,337,580.25/334,410
  6. Step 6: Final answer
    x = 763,157.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.